Ludwik Jaksztas

activity

20172023

most citedOn the directional derivative of the Hausdorff dimension of quadratic polynomial Julia sets at 1/4

3 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.DS2023

On the directional derivative of the Hausdorff dimension of quadratic polynomial Julia sets at -2

Ludwik Jaksztas

Let $d (δ)$ denote the Hausdorff dimension of the Julia set of the polynomial $f_{δ} (z) = z^{2} - 2 + δ$ . In this paper we will study the directional derivative of the function $d$ along dire…

math.DS2019★ 3 cited

On the directional derivative of the Hausdorff dimension of quadratic polynomial Julia sets at 1/4

Ludwik Jaksztas

Let $d (ε)$ and $D (δ)$ denote the Hausdorff dimension of the Julia sets of the polynomials $p_{ε} (z) = z^{2} + 1/4 + ε$ and $f_{δ} (z) = (1 + δ) z + z^{2}$ respecti…

math.DS2017★ 1 cited

On the derivative of the Hausdorff Dimension of the Julia sets for z^2+c

Ludwik Jaksztas, Michel Zinsmeister

Let $d (c)$ denote the Hausdorff dimension of the Julia set $J_{c}$ of the polynomial $f_{c} (z) = z^{2} + c$ . We will investigate behavior of the function $d (c)$ when real parameter $c$ tends…